By Masami Ito, Yuji Kobayashi, Kunitaka Shoji

ISBN-10: 9814317608

ISBN-13: 9789814317603

This quantity comprises papers chosen from the shows on the workshop and comprises quite often contemporary advancements within the fields of formal languages, automata concept and algebraic platforms relating to the theoretical desktop technological know-how and informatics. It covers the parts similar to automata and grammars, languages and codes, combinatorics on phrases, cryptosystems, logics and timber, Grobner bases, minimum clones, zero-divisor graphs, wonderful convergence of features, and others

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A. Reed : Encryption system based on chaos theory. US P 5,048,086, 1991. 6. E. Biham: Cryptoanalysis of the chaotic map cryptosystem suggested at EUROCRYPT’91. In: D. W. , Proc. Conf. Advances in Cryptology - EUROCRYPT’91, Workshop on the Theory and Application of Cryptographic Techniques, Brighton, UK, April 8-11, 1991, LNCS 547 SpringerVerlag, Berlin, 1991, 532-534. 7. P. Erd˝ os, A. R´enyi: On a new law of large numbers. J. Analyse Math. 23 (1970), 103–111. 8. P. Erd˝ os, P. R´ev´esz: On the length of the longest head-run.

A word over an alphabet Σ is a finite string consisting of letters of Σ. A word over a binary alphabet is called a bit string. The string consisting of zero letters is called the empty word, written by λ. The length of a word w, in symbols |w|, means the number of letters in w when each letter is counted as many times it occurs. By definition, |λ| = 0. At the same time, for any set H, |H| denotes the − cardinality of H. In addition, for every nonempty word w, denote by → w the → − last letter of w.

Tn ), the mapping from dom(t) to Σ, also denoted t is defined as t(x) = σ if x = ǫ; ti (v) if x = i · v for some i ∈ [n] and v ∈ N ∗ . An element of dom(t) is a node of t. A node x of t ∈ TΣ is called an n-ary node for some n ∈ R if t(x) ∈ Σn . , the unique tree with dom(t|x ) = {u : x · u ∈ dom(t)} and t|x (u) = t(x · u) for any u ∈ dom(t|x ). For better readability, Root(t) stands for t(ǫ). When s is a ∆-tree and t is a Σ-tree for some ranked alphabets ∆ and Σ, we say that s is a (∆-)relabeling of t if dom(s) = dom(t).

### Automata, Formal Languages and Algebraic Systems by Masami Ito, Yuji Kobayashi, Kunitaka Shoji

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